The role of BMOA in the boundedness of weighted composition operators on the unit ball

被引：1

作者：

Zhang, Chao ^{[1
]}

Cao, Guang Fu ^{[1
]}

机构：

[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Weighted composition operator; boundedness; compactness; BMOA; VMOA; SPACES;

D O I：

10.1007/s10114-013-1742-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the weighted composition operators W (h,phi) on Hardy space whenever h a BMOA (resp. h a VMOA). Analogous results are given for spaces and the scale of weighted Bergman spaces. In the latter case, BMOA is replaced by the Bloch space (resp. VMOA by the little Bloch space).

引用

页码：323 / 330

页数：8

共 17 条

[1]

[Anonymous], ISOMERIES H1 UNPUB

[2] Weighted composition operators on Hardy spaces [J].

Contreras, MD ;

Hernández-Díaz, AG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (01) :224-233

[3]

Cowen C., 1995, Composition Operators on Spaces of Analytic Functions

[4]

Duren P., 1970, THEORY SPACES

[5] ISOMETRIES OF HP [J].

FORELLI, F .

CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (04) :721-&

[6] Boundedness, Compactness and Schatten-class Membership of Weighted Composition Operators [J].

Gallardo-Gutierrez, E. A. ;

Kumar, R. ;

Partington, J. R. .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 67 (04) :467-479

[7] The role of BMOA in the boundedness of weighted composition operators [J].

Gallardo-Gutierrez, Eva A. ;

Partington, Jonathan R. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (11) :3593-3603

[8]

Halmos PR., 1974, Measure Theory

[9] Applications of the discrete Weiss Conjecture in operator theory [J].

Harper, Z .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (01) :69-88

[10] Weighted composition operators from α-bloch space to H∞ on the polydisc [J].

Li, Songxiao ;

Stevic, Stevo .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (7-8) :911-925

← 1 2 →